Deformation theory and quantum groups with applications to mathematical physics : proceedings of an AMS-IMS-SIAM 1990 joint summer research conference held June 14-20 at the University of Massachusetts, Amherst, with support from the National Science Foundation
著者
書誌事項
Deformation theory and quantum groups with applications to mathematical physics : proceedings of an AMS-IMS-SIAM 1990 joint summer research conference held June 14-20 at the University of Massachusetts, Amherst, with support from the National Science Foundation
（Contemporary mathematics, v. 134）
American Mathematical Society, c1992
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注記
"The AMS-IMS-SIAM 1990 Joint Summer Research Conference on Deformation Theory of Algebras and Quantization with Applications to Physics was held June 14-20, 1990 at the University of Massachusetts, Amherst, Massachusetts" -- T.p. verso
Includes bibliographical references
内容説明・目次
内容説明
Quantum groups are not groups at all, but special kinds of Hopf algebras of which the most important are closely related to Lie groups and play a central role in the statistical and wave mechanics of Baxter and Yang. Those occurring physically can be studied as essentially algebraic and closely related to the deformation theory of algebras (commutative, Lie, Hopf, and so on). One of the oldest forms of algebraic quantization amounts to the study of deformations of a commutative algebra A (of classical observables) to a noncommutative algebra A*h (of operators) with the infinitesimal deformation given by a Poisson bracket on the original algebra A. This volume grew out of an AMS-IMS-SIAM Joint Summer Research Conference, held in June 1990 at the University of Massachusetts at Amherst. The conference brought together leading researchers in the several areas mentioned and in areas such as q special functions, which have their origins in the last century but whose relevance to modern physics has only recently been understood. Among the advances taking place during the conference was Majid's reconstruction theorem for Drinfel$'$d's quasi-Hopf algebras. the mathematics of quantum groups and deformation theory.
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